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Finding the Fourth Proportional to 30,840.81, 42,515.76 and 20,211.99

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Solution

The fourth proportional to 30,840.81, 42,515.76 and 20,211.99 is: 27,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.81 : 42,515.76 = 20,211.99 : x
  2. Step 2: Convert to fraction form
    30,840.81/42,515.76 = 20,211.99/x
  3. Step 3: Cross multiply
    30,840.81x = 42,515.76 × 20,211.99
  4. Step 4: Simplify right side
    30,840.81x = 859,328,115.96
  5. Step 5: Solve for x
    x = 859,328,115.96/30,840.81
  6. Step 6: Final answer
    x = 27,863.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.